2,809,940

2² × 5 × 7 × 20071

2,809,940 factors as 2^2 × 5 × 7 × 20071. Its 24 positive divisors give a proper-divisor sum of 3,934,252, so this integer is abundant. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 20071

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,744,192

Proper Divisor Sum 3,934,252

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #2809931 ← → #2809973

Radix Representation

Decimal	2809940
Binary	1010101110000001010100 (22 bits)
Octal	0o12560124
Hexadecimal	0x2AE054

Divisor Catalog (24)

Collatz Trajectory (156 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,809,940 1,404,970 702,485 2,107,456 1,053,728 526,864 263,432 131,716 65,858 32,929 98,788 49,394 24,697 74,092 37,046 18,523 55,570 27,785 83,356 41,678 20,839 62,518 31,259 93,778 46,889 140,668 70,334 35,167 105,502 52,751 158,254 79,127 237,382 118,691 356,074 178,037 534,112 267,056 133,528 66,764 33,382 16,691 50,074 25,037 75,112 37,556 18,778 9,389 28,168 14,084 7,042 3,521 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972

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